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Course Co-ordinated by IIT Kharagpur
Coordinators
 
Prof. S. Banerjee
IIT Kharagpur

 

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This course covers lessons on newton's method and constraints,bond graph approach,high dimensional linear systems and dynamics of non-linear systems.

   

S.No

Topic

1

Introduction to System Elements                                           

2

 Newton's Method and Constraints                                           

3

 Derivation of the Lagrangian Equation                                     

4

 Using the lagrangian Equation to Obtain Differential Equations (Part-I)   

5

 Using the lagrangian Equation to Obtain Differential Equations (Part-II)  

6

 Using the lagrangian Equation to Obtain Differential Equations (Part-III) 

7

 Using the lagrangian Equation to Obtain Differential Equations (Part-IV)  

8

 Obtaining First Order Equations                                           

9

 Application of the Hamiltonian Method                                     

10

 Obtaining Differential Equations Using Kirchoff's Laws                    

11

 The Graph Theory Approach for Electrical Circuits (Part-I)                

12

 The Graph Theory Approach for Electrical Circuits (Part-II)               

13

 The Bond Graph Approach-I                                                 

14

 The Bond Graph Approach-II                                                

15

 The Bond Graph Approach-III                                               

16

 The Bond Graph Approach-IV                                                

17

 The Bond Graph Approach-V                                                 

18

 The Bond Graph Approach-VI                                                

19

 The Bond Graph Approach-VII                                               

20

 Numerical Solution of Differential Equations                              

21

 Dynamics in the State Space                                               

22

 Vector Field Around Equilibrium Points-I                                  

23

 Vector Field Around Equilibrium Points-II                                 

24

 Vector Field Around Equilibrium Points-III                                

25

 Vector Field Around Equilibrium Points-IV                                 

26

 High Dimensional Linear Systems                                           

27

 Linear Systems with External Input-I                                      

28

 Linear Systems with External Input-II                                     

29

 Linear Systems with External Input-III                                    

30

 Dynamics of Nonlinear Systems-I                                           

31

 Dynamics of Nonlinear Systems-II                                          

32

 Dynamics of Nonlinear Systems-III                                         

33

 Discrete-Time Dynamical Systems-I                                         

34

 Discrete-Time Dynamical Systems-II   

   
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